112257 has 6 divisors (see below), whose sum is σ = 162162. Its totient is φ = 74832.

The previous prime is 112253. The next prime is 112261. The reversal of 112257 is 752211.

It is an interprime number because it is at equal distance from previous prime (112253) and next prime (112261).

It can be written as a sum of positive squares in only one way, i.e., 103041 + 9216 = 321^2 + 96^2 .

It is not a de Polignac number, because 112257 - 2² = 112253 is a prime.

112257 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (112253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6228 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2¹¹²²⁵⁷ is an apocalyptic number.

It is an amenable number.

112257 is a deficient number, since it is larger than the sum of its proper divisors (49905).

112257 is a wasteful number, since it uses less digits than its factorization.

112257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12479 (or 12476 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 112257 is about 335.0477577898. The cubic root of 112257 is about 48.2396865569.

Adding to 112257 its reverse (752211), we get a palindrome (864468).

The spelling of 112257 in words is "one hundred twelve thousand, two hundred fifty-seven".